Problema Solution

A fish tank has a length of 60 centimeters and a width of 31.5 centimeters. The water height in the fish tank is 28 centimeters. A fish swims from a bottom corner of the tank up along a diagonal path towards the surface of the water until it reaches the opposite face of the tank. Find the distance that the fish swam.

Answer provided by our tutors

let


d = the length of the diagonal that is the distance the fish swam


using the Pythagorean Theorem we can write:


d^2 = 60^2 + 31.5^2 + 28^2


by solving we find:


d = 73.32 cm


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the distance that the fish swam was 73.32 cm.